A survey about the student government program at a school finds the following results.

190 students like the program
135 students think the program is unnecessary
220 students plan on running for student government next year.
If a circle graph were made from the data, what is the measure of the central angle for the group that plans on running for student government next year?

A. 29 degrees
B. 90 degrees
C. 98 degrees
D. 172 degrees***
please check

Thanks~!

To find the measure of the central angle for the group that plans on running for student government next year, we need to determine the percentage of students in that group.

First, we add up the total number of students who participated in the survey: 190 (students who like the program) + 135 (students who think the program is unnecessary) + 220 (students who plan on running for student government) = 545.

To find the percentage, we divide the number of students planning to run for student government by the total number of students and then multiply by 100.

(220 / 545) * 100 = 40.36%

Next, we need to convert this percentage into degrees using the formula: (Percentage / 100) * 360.

(40.36 / 100) * 360 = 145.296 degrees.

Therefore, the measure of the central angle for the group that plans on running for student government next year is approximately 145 degrees, which corresponds to option D.

cannot be determined as the data is written.

e.g. are the data values exlusive, that is,
how do we know that some students like the program but still think it is unnecessary.
How are the 220 who are running for government distributed among the 190 who like the program, and those that feel it is unnecessary.

Very poorly worded question.